The influence of sale announcement on the optimal policy of an inventory system with perishable items

• The inventory model for perishable items with sale announcement is extended.
• The proposed models in two special cases for demand’s distribution is investigated.
• Sensitivity of parameters and their influence on average total revenue is analyzed.

In this paper a single-period inventory system with a sale announcement for perishable items is investigated. In this problem setting, the perishable product has a deterministic expiry date and a demand with a probabilistic behavior during the period. When the expiry date of the product is approaching, a special sale announcement may alter the customers' behavior and escalate the demand rate preventing huge loss of the expired products. Two model is developed to obtain the optimal order quantity of the product and the optimal time for sale announcement. The first model considers a static price dependent behavior of customers independent from the product’s expiry date, while in the second one the product's demand rate after sale announcement is assumed as an increasing function of its remaining lifetime. Usefulness of the proposed models and the influence of sale announcement on total revenue is demonstrated using numerical examples. Finally, a comprehensive sensitivity analysis is conducted revealing the effect of different parameters of the models on the optimal policy.